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On Kaplun's optimal co-ordinates

Published online by Cambridge University Press:  20 April 2006

Hartmut H. Legner
Hartmut H. Legner
Affiliation:
Physical Sciences Inc., Woburn, Massachusetts 01801
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Abstract

Optimal co-ordinates were introduced by Kaplun (1954) as a result of his study on the role of co-ordinate systems in boundary-layer theory. In this paper the basic ideas of optimal co-ordinates are examined and many restrictions of Kaplun's optimal co-ordinates are removed. His rule for constructing optimal co-ordinates is found to apply unaltered to axisymmetric flows, to flows with oncoming streams containing vorticity, to free boundary layers such as jets, to free-convection flows and to compressible flows. It is also extended to unsteady boundary layers, and to three-dimensional boundary layers using a pair of stream functions.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 115 , February 1982 , pp. 379 - 393
Copyright
© 1982 Cambridge University Press

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